Answer:
Choice D.) 434,500
Step-by-step explanation:
What is 4.345 x 10^5 in standard form?
4.345 x 10^5 = 4.345 * 100,000
multiply it out:
4.345 x 10^5 = 434,500
Correct question is;
What function is the inverse of the exponential function y = 1.5^(x)?
Answer:
y = log_1.5_x
Step-by-step explanation:
The inverse of exponential functions is usually written in form of logarithm.
For example inverse of y = p^(x) will be written as; y = log_p_(x)
Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;
y = log_1.5_x
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.
Therefore, the Nth term is 17 + 7N.
For example, the first term is 17 + 7*1 = 17 + 7 = 24.
The second term is 17 + 7*2 = 17 + 14 = 31
etc...
And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
The correct value of this equation is <u>m = </u><u>24</u>
<h3>Resolution method</h3>
This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
<u>m = 24</u>
Therefore, the correct value of this equation will be <u>m = 24</u>
